Supervenience failure requires showing no logically possible base-level completion recovers whole-system properties, which modal interpretations' biorthogonal decomposition does not conclusively preclude.

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Base-level(as used in metaphysics and philosophy of science): The fundamental starting point or foundation in a system—like individual atoms or subatomic particles being the base level for larger physical objects.
Biorthogonal decomposition(as used in quantum mechanics and philosophy of physics): A mathematical technique in quantum mechanics that breaks down a system's state into paired components that have a special balanced relationship to each other.
Logically possible(modal logic and possibility): Something that doesn't break the rules of logic or create a contradiction, even if it's unlikely to actually happen in real life.
Whole-system properties(as used in philosophy of science and metaphysics): Characteristics that describe an entire system as a unified thing, rather than just its individual parts (for example, the 'wetness' of water is a whole-system property that individual H2O molecules don't have alone).

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